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Discrete Math and Analyzing Social Graphs
Week 4
Euler Path

QuizQuiz • 10 min10 minutes

Euler Path

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Euler Path

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Euler Path

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1.

Question 1

How many Euler paths are there in the following graph?

1 / 1 point

12

Correct

Indeed, the path should start at one odd vertex and finish at the other one. Here we see two odd vertices: 2 and 5. If we start from 2, we have three possible ways to go (left, right, or down). For each of this paths, when we reach 5, we again have two possibilities where to turn. Thus, there are 6 Euler paths from 2 to 5. Another 6 Euler paths go, symmetrically, from 5 to 2.